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Finding the Fourth Proportional to 280,147.96, 420,484.38 and 130,491.55

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Solution

The fourth proportional to 280,147.96, 420,484.38 and 130,491.55 is: 195,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,147.96 : 420,484.38 = 130,491.55 : x
  2. Step 2: Convert to fraction form
    280,147.96/420,484.38 = 130,491.55/x
  3. Step 3: Cross multiply
    280,147.96x = 420,484.38 × 130,491.55
  4. Step 4: Simplify right side
    280,147.96x = 54,869,658,496.99
  5. Step 5: Solve for x
    x = 54,869,658,496.99/280,147.96
  6. Step 6: Final answer
    x = 195,859.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.